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Math Directory

7,456,120

23 × 5 × 7 × 31 × 859
Abundant Even Composite

7,456,120 factors as 2^3 × 5 × 7 × 31 × 859. Its 64 positive divisors give a proper-divisor sum of 12,358,280, so this integer is abundant. The Collatz stopping time is 235 steps.

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Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 31 × 859
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,814,400
Proper Divisor Sum 12,358,280
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7456063 ← → #7456121

Radix Representation

Decimal 7456120
Binary 11100011100010101111000 (23 bits)
Octal 0o34342570
Hexadecimal 0x71C578

Divisor Catalog (5 of 64)

1 2 4 5 7

Collatz Trajectory (235 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

7,456,120 3,728,060 1,864,030 932,015 2,796,046

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